Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...108...89m&link_type=abstract
Astronomy and Astrophysics, vol. 108, no. 1, Apr. 1982, p. 89-94. Research supported by the Swiss National Science Foundation.
Astronomy and Astrophysics
Astrophysics
63
Astronomical Models, Elliptical Galaxies, Elliptical Orbits, Galactic Rotation, Orbit Perturbation, Hamiltonian Functions, Indexes (Ratios), Orbit Calculation, Potential Theory, Radial Velocity
Scientific paper
The stability properties of the main simple elliptical periodic orbits present in a triaxial logarithmic potential are numerically investigated. The effects of the potential geometry, system rotation and Hamiltonian value on the stability indices are examined. The circumstances under which a stable (resp. unstable) periodic orbit located in the plane perpendicular to the rotation axis can become unstable (resp. stable) are illustrated. The general behavior of the orbit whose rotation axis is initially perpendicular to the system rotation axis is that its orbital plane is more and more tilted with increasing rotation speed and ends up in merging with a periodic orbit in the (x, y) plane perpendicular to the rotation axis. Generally, this tilted orbit does not change its stability type before reaching the (x, y) plane. An exception is found in which the orbit undergoes complex instability.
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